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2141204031 = 33194173887
BaseRepresentation
bin111111110100000…
…0010111000111111
312112020001102202000
41333220002320333
513341122012111
6552245233343
7104026635231
oct17750027077
95466042660
102141204031
119a972130a
124b9102853
132817b6745
14164534251
15c7ea5c56
hex7fa02e3f

2141204031 has 16 divisors (see below), whose sum is σ = 3339110400. Its totient is φ = 1352339064.

The previous prime is 2141204029. The next prime is 2141204041. The reversal of 2141204031 is 1304021412.

It is not a de Polignac number, because 2141204031 - 21 = 2141204029 is a prime.

It is a super-2 number, since 2×21412040312 = 9169509404741297922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2141203995 and 2141204013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141204041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086431 + ... + 2087456.

It is an arithmetic number, because the mean of its divisors is an integer number (208694400).

Almost surely, 22141204031 is an apocalyptic number.

2141204031 is a deficient number, since it is larger than the sum of its proper divisors (1197906369).

2141204031 is a wasteful number, since it uses less digits than its factorization.

2141204031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173915 (or 4173909 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141204031 is about 46273.1458947844. The cubic root of 2141204031 is about 1288.9003771488.

Adding to 2141204031 its reverse (1304021412), we get a palindrome (3445225443).

The spelling of 2141204031 in words is "two billion, one hundred forty-one million, two hundred four thousand, thirty-one".

Divisors: 1 3 9 19 27 57 171 513 4173887 12521661 37564983 79303853 112694949 237911559 713734677 2141204031